The angle of a turn clockwise from South East to North is Option B 135°.
When determining the angle of turn, it is important to consider the direction of rotation (in this case, clockwise) and the starting and ending points (in this case, South East to North).
If we imagine the compass as a clock, with North at the 12 o'clock position, South at the 6 o'clock position, East at the 3 o'clock position, and West at the 9 o'clock position. Then South East would be at the 4:30 position and the North would be at the 12 o'clock position. To rotate from 4:30 (South East) to 12 o'clock (North) in a clockwise direction, we would have to rotate 135 degrees. Thus, the angle of a turn clockwise from South East to North is 135 degrees.
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Activity 1: Keep Trying
Direction: Read, understand, analyze the given problem and solve it by applying the suggested
steps. Write your answer on the box provided.
1. Esther gave birth to a new-born baby weighing 5 kg at birth. Her friend told her that
the monthly average weight gained by a baby is 2 kg. If the rate of increase of the baby's
weight every month is constant, what is the weight of the baby after five months?
Perlom
Solution
Step 5
ernalia
Step 1
Step 2
Step 4
Step 3
nent anar
lia
The weight of the baby after five months is 15 Kg.
Step 1:
Given:
New-born baby weight = 5kg
Monthly average weight gained = 2kg
To find:
The weight of the baby after 5 months.
Average Weight of Baby:
Birth weight is the weight of the baby at birth. [1] The average birth weight of babies of European descent is 3.5 kilograms, with a normal range of 2.5 to 4.5 kilograms (5.5 to 9.9 pounds). On average, South Asian and Chinese babies weigh about 3.26 kg. The prevalence of low birth weight infants decreased slightly from 7.9% (1970) to 6.8% (1980), then increased slightly to 8.3% (2006) and is currently at 8.2% (2016).
Step 2:
Represent the unknown.
Let x-the number of months .
Let y-weight of the baby after 5 months.
Step 3:
Formulate the equation.
The mathematical equation is:
5+2x = y
Step 4:
Solve the equation.
5+2x = y
5+2(5) = y
5+10 = y
y = 15
Thus, the baby weight is 15kg after 5 months.
Step 5:
Using the equation 5+2x=y.
5+2x = y
5+2(5) = 15
5+10 = 15
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What is the difference between a reasonable and unreasonable time algorithm?
Reasonable algorithms expand at polynomial rates or less quickly. Unreasonable algorithms expand exponentially. Even for relatively small problem sizes, the time to solve an unreasonable algorithm increases very quickly.
What is Unreasonable time algorithms?When the algorithm takes an excessively long time, we say that the number of steps is an exponential function of the size of the input (or some other function that is larger than any polynomial). Simply increasing the input size (n) by 1 doubles the number of steps for an algorithm that runs in 2n time.
Depending on the polynomial, polynomial time can be further decomposed. Algorithms with a runtime of approximately n2 operate in quadratic time. (If the input size is doubled, the number of steps is quadrupled.) In practise, polynomial time algorithms that take longer than cubic (n³) time are uncommon.
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Please help!!!
if 7^9/7^n = 7^3 then n is ___?
Answer:
n= 6
Step-by-step explanation:
7^9/7^6 is the same as 7^9 - 7^6/ 7^9-6 but it gives you 7^3
In a certain school district, students from grade 6 through grade 12 can participate in a school-sponsored community service activity. The following bar chart shows the relative frequencies of students from each grade who participate in the community service activity.
According to the given bar chart options A, B and C are the correct.
How do you find relative frequency?Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.
Given that, the bar chart shows the relative frequencies of students from grades 6 to 12 who participate in the community service activity.
Relative Frequency = Subgroup frequency/ Total frequency.
Relative Frequency = f/ n.
From the given bar chart we can see that
The maximum number of participating students was in grade 9.
The number of participating students in grade 6 was equal to the number of participating students in grade 7.
The relative frequency of all participating students in grades 6 and 7 combined was 0.60.
Therefore, options A, B and C are the correct answers.
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Complete question is in attachment:
2. A chef can make 12 meals with 3 pounds of steak. If he plans to make 250 meals and the steak costs $6.60 per pound, how much will the chef spend on steak
The amount of money which the chef spends on steak as calculated from the data given is found to be $412.50.
Now as we know that ,
for a meal of 12 meals the chef uses 3 pounds.
Therefore , for a meal of 250 meals the chef uses x pounds
Now , we will solve this proportion.
x=(250 meals*3 pounds)/12 meals
= 62.5 pounds
Now , cost of steaks = 6.60 dollars.
Therefore cost of 62.5 pounds of steaks will be ,
62.5 pound x $ 6.60/pound
= $ 412.50
A comparison between two numbers is called a proportion. If two sets of provided numbers increase or decrease in the same ratio, then the ratios are said to be directly proportional to each other.
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Compare your response to the sample response above. Did your explanation include that distance is a function of time? include that the constant rate of change, or slope, is 64? include the equation y = 64x + 22? say to substitute 4 in for x to get 278 miles?
Yes the explanation satisfy the questions stated.
How to compare the value?From the question, distance is said to be a function of time and the constant rate of change is 64.
y = 64x + 22
The above is in the form of a Linear equation:
y = mx + c
Where y = dependent variable (distance)
x = unrelated variable (time)
m = slope = time/distance
22 for c = constant.
m = constant rate of change = 64
If x (time) = 4
y (distance) = 278 miles
y = 64(4) + 22
y = 256 + 22
y = 256 + 22
y = 278 miles
Therefore the value of y is 278 miles.
The complete question is : Distance is a function of time. The constant rate of change is 64. Write
the equation Y=64x + 22. Substitute 4 in for x to get 278 miles,
Compare your response to the sample response above. Did your explanation
include that distance is a function of time?
include that the constant rate of change, or slope, is 64?
include the equation y = 64x + 22?
say to substitute 4 in for x to get 278 miles?
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if g varies inversely as the square root of h, and g = 9 when h = 121, find g when h = 81.
If g varies inversely as the square root of h, this means that the product of g and the square root of h is constant. We can represent this relationship using the equation g*sqrt(h) = k, where k is the constant value.
We are given that g = 9 when h = 121, so we can substitute these values into the equation to find the constant:
9sqrt(121) = k
Simplifying this expression gives us:
k = 911 = 99
Now that we know the value of the constant, we can use the equation to find g when h = 81:
g*sqrt(81) = 99
Solving for g gives us:
g = 99/sqrt(81) = 99/9 = 11
Therefore, when h = 81, g = 11.
Interpreting Graphs-DeltaMath Interpret the graph of a Function
The function is (linear, or nonlinear). The function is negative where x (<, or >) (any number) and where x (<, or >) (any number). There (is, or isn't) an extrema. The maximum is located at x=(any number). As the x-value (increases, or decreases) the y-value (increases, or decreases).
Everything in the parenthesis is the drop down menus or pick a number off of the graph.
The function in the attached graph is nonlinear
The function is negative where x < 0 and where x > 0.
There is an extrema.
The maximum is located at x = 0.
As the x-value decreases the y-value decreases for x < 0
As the x-value increases the y-value decreases for x > 0
How to determine the characteristics of the functionThe function is not a straight line graph, because of this, it is a non linear function
The extrema refers to points of maximum or minimum values. The function on the graph has a maximum value at (0, 0)
The end behavior of the function is described as
x ⇒ ∞ f(x) ⇒ - ∞
x ⇒ -∞ f(x) ⇒ -∞
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Find the solutions to x² = 24.
OA. x= 16-√4
B. x = +2√6
O C.
x = +6√ √2
OD. x +4√6
Answer:
x = 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{24}[/tex] = [tex]\sqrt{(2)(2)(2)(3)}[/tex] We can pull out a pair of 2's
2[tex]\sqrt{(2)(3)\\}[/tex] = 2[tex]\sqrt{6}[/tex]
having trouble with this, can anyone help?
(equation needs to be put in y=mx+b form)
Check the picture below.
How do you check whether 7 3x is a factor of 3x3 7x?
7 + 3x is not a factor of expression 3x^3 + 7x
Consider given expression 3x^3 + 7x
Let f(x) = 3x^3 + 7x
Assume that 7 + 3x is a factor of 3x^3 + 7x
This means, 7 + 3x = 0 would be the root.
x = -7/3
If x = -7/3 is root of polynomial f(x) = 3x^3 + 7x then f(-7/3) must be equal to 0
We find the value of given polynomial for x = -7/3
f(x) = 3x^3 + 7x
f(-7/3) = 3(-7 / 3)^3 + 7 (-7 / 3)
f(-7/3) = (3 × (-343)) / 27 + (-49 / 3)
f(-7/3) = [(-343) - 147] / 9
f(-7/3) = -490 / 9
f(-7/3) ≠ 0
Since f(-7/3) ≠ 0, x = -7/3 is not root of polynomial f(x) = 3x^3 + 7x
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what are the integers from -2 to 3 in ascending order?
Answer:
-2, -1, 0, 1, 2, 3
Step-by-step explanation:
Integers are whole numbers that can be either positive or negative. Integers cannot be decimals or fractions.
Ascending order is from least to great so we would start with the smaller number and end with the larger number. So there are 6 integers between -2 and 3.
How do you know what to multiply in elimination?
Answer:
See below
Step-by-step explanation:
When nether of the variable will fall out when adding together. For example:
2x + 5y = 13
-2x + 7y = 17
When I add these equation together, the variable x will drop out because 2x - 2x = 0 and we would be left with other the y variable which we then can solve for. 12y = 30
Now another example where the neither the x or y falls out.
x + 5y = 12
2x + 3y= 9
When I add these together, neither variable falls out.
3x + 8y = 21
BUT, if I multiply x + 5y = 12 though by -2 I get
-2x -10y = -24
Now when I add the two equation together the x's will drop out.
-2x -10y = -24
2x + 3y = 9
-7y = --15
What does → mean in math?
â' in mathematics refers to the hexadecimal representation of the number 10.
What does hexadecimal notation provide for?In machine code and assembly programming languages, hexadecimal is widely utilised. It is frequently used to refer to memory addresses. It can be used to represent numbers kept in a CPU's registers or in main memory, as well as during the debugging phase of designing a computer programme.
How is the hexadecimal notation read?Although there are six more digits to consider, counting in hex is very similar to counting in decimal. When a digit position exceeds "F," you roll that place over to "0" and increase the digit to the left by 1. And once you've reached 1F16, move on to 2016 and keep churning the right-most
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2) If 50% of the people in Salmiya prefer Arab Times, 30% prefer Wataniya and the remaining prefer other newspapers, then what percentage of the people prefer other newspapers? If the total number of people are 50000, find the exact number who prefer each type of newspaper.
Therefore, 25000 people prefer Arab Times, 15000 people prefer Wataniya, and 10000 people prefer other newspapers.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
For the percentage of people who prefer other newspapers are:
100% - 50% - 30% = 20%
So, 20% of the people in Salmiya prefer other newspapers.
Multiply the percentage of people who prefer each type of newspaper by the total number of people in Salmiya (50000):
Arab Times: 50% * 50000 = 25000 people
Wataniya: 30% * 50000 = 15000 people
Other newspapers: 20% * 50000 = 10000 people
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Use polar coordinates to find the volume of the given solid. Inside the sphere x^2 + y^2 + z^2 = 36 and outside the cylinder x^2 + y^2 = 1.
The required volume of the given solid is (√16 - r²) -(-√16 - r²).
What is volume?The measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units.
Volume and the notion of length are connected.
Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface.
The cubic meter (m3), a derived unit, is the SI unit of volume.
So, the integrand often takes the form z upper z lower, where z stands for the solid's lower and upper borders.
We are treating the sphere as a hemisphere as of right now, with the XY-plane serving as its lower boundary. Consequently, you must multiply by 2.
The solid's volume is (√16 - r²) -(-√16 - r²).
Therefore, the required volume of the given solid is (√16 - r²) -(-√16 - r²).
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Correct question:
Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.
Simplify using only positive exponents:
(2h^7v^-3)/(5h^-4v^5)^-5
Therefore the expression simplified using only positive exponents is 10h^4v^22.
Define positive exponents.An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.
Define multiply and divide.A mathematical procedure called multiplication shows how many times a number has been added to itself. The multiplication symbol (x) or (*) are used to denote it. A mathematical process that shows how many equal amounts add up to a given number is called division.
To simplify the expression using only positive exponents, we need to make sure that all the exponents are positive.
We can simplify the expression:
(2h^7v^-3)/(5h^-4v^5)^-5
= (2h^7v^-3)/(1/(5h^-4v^5)^5)
= (2h^7v^-3) * (5h^4v^25)
= 10h^4v^22
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I got this from Khan Academy.
The function which has greater slope is Function 2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Function 1:
y = -2x + 10
and Function 2:
Slope = (5-10)/( 2-0) = -5/2
So, the Equation of line
(y - 10) = -5/2 (x -0)
y - 10 = -5/2x
y = -5/2x + 10
y= -2.5x +10
So, the slope of Function 1 is greater than slope of function 2.
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I need help on this math question !!! All the questions are on the second screenshot and there is a graph included .
The blank words are 5 cm, 5 cm, 5 cm, 5 cm, adjacent, equal, 3/4, -4/3, 3/4, -4/3, adjacent, perpendicular, equal.
What is quadrilateral?
A quadrilateral in geometry is a four-sided polygon with four edges and four corners.
I will prove that quadrilateral KLMN is a square by demonstrating that
all sides are of equal measure,
and adjacent sides are perpendicular.
To prove all sides are equal:
KL = 5 cm
LM = 5 cm
MN = 5 cm
NK = 5 cm
The four sides are of 5 measure.
To prove adjacent sides are perpendicular:
slope of KL = 3/4
slope of LM = -4/3
slope of MN = 3/4
slope of NK = -4/3
The slopes of any pair of adjacent sides are perpendicular.
That being the case, those sides are equal.
Therefore, 5 cm, 5 cm, 5 cm, 5 cm, adjacent, equal, 3/4, -4/3, 3/4, -4/3, adjacent, perpendicular, equal are the blank words.
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I need help, I don’t know what comes next I’m confused???
Answer:
x^2-9
Step-by-step explanation:
-3 + 3 = 0 so the x terms cancel out. This leaves you with only x^2-9
In this course, we'll begin to
explore "opposite" function types. For example, think about
a quadratic function and its key features. What key features do you think its opposite
function will have? Why?
Answer:
Some key features quadratic functions have are:
Axis of symmetryx and y-interceptsZeroesvertexPoint symmetric to y-interceptStep-by-step explanation:
Answer: You could say something like this ''I think the opposite function of a quadratic function would have an inverted parabolic curve that always opens upwards, since a quadratic function can open upwards or downwards. It would also have a single maximum or minimum point, depending on the coefficient of the quadratic term, since a quadratic function has a single vertex. Finally, the opposite function would have either no real roots or two real roots with opposite signs, depending on the discriminant, since a quadratic function can have either two distinct real roots or two complex roots.''
I really also need help on this question lol
Answer:
13/15
For this question, you could type it into the calculator.
Hence, this question is too trivial, and your question might get deleted as a result. Since this is your first question, I will help you out but subsequently, do use a calculator to solve this kind of questions.
Step-by-step explanation:
4 1/3 can be converted to 13/3 as an improper fraction.
Next, evaluate 13/3 divided by 5
(13/3) / 5 = (13/3) x (1/5)
= 13/15
Answer:
Step-by-step explanation:
There are a number of ways to do this. I am going to take a little longer, but I am hoping that it will make sense to you.
4[tex]\frac{1}{3}[/tex] ÷ 5
Another name for 1 is [tex]\frac{3}{3}[/tex] I am going to rewrite 4[tex]\frac{1}{3}[/tex] knowing this.
[tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
Another way to write 5 is [tex]\frac{5}{1}[/tex].
I want both of my fraction to have the same denominator so I will multiple
[tex]\frac{5}{1}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{3}[/tex] I am now ready to divide by fractions
[tex]\frac{13}{3}[/tex] ÷ [tex]\frac{15}{3}[/tex] Divide across
[tex]\frac{\frac{13}{15} }{\frac{3}{3} }[/tex] = [tex]\frac{\frac{13}{15} }{1}[/tex] = [tex]\frac{13}{15}[/tex]
How many one-cup servings of milk are in a two-liter bottle? Round your answer to the nearest tenth.
____________one-cup servings
Answer: 10.56 cups.
Step-by-step explanation:
1 liter = 4.22 cups; 1.5 liters = 6.34 cups; 2 liters = 8.45 cups; 2.5 liters = 10.56 cups.
2x-6y= -12 x intercept as a ordered pair and y intercept as ordered pair
We need to assume the sample was randomly selected because we are making inferences about ___________. a)unknown statistic b) unknown parameter c) means
We need to assume the sample was randomly selected because we are making inferences about means. Means refers to the average of a sample of data points, which can be used to estimate the value of an unknown population parameter.
If the sample was not randomly selected, then our estimates of the population parameter could be biased or inaccurate. This is because the sample may not be representative of the population as a whole, which could lead to incorrect estimates of the population parameter.
In order to make valid inferences about a population, it is essential to use random sampling. This is because random sampling ensures that the sample is representative of the population as a whole, meaning that the estimates of the population parameter that you obtain from the sample will be unbiased and accurate. If the sample is not randomly selected, then there is a risk that the sample is not representative of the population, which could lead to incorrect estimates of the population parameter.
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What does 5 mean in maths?
5 (five) is a number, numeral, and digit.
It is a prime number and the natural and cardinal number that comes after 4 and before 6. Because most people have five digits on each hand, it has gained significance throughout history.
5 is the second super-prime and third-smallest prime number. It is the first of three known Wilson primes, the first good prime, the first balanced prime, and the first safe prime. The number five is also the third Catalan number, the third Sophie Germain prime, the third exponent of the third Mersenne prime, and the second Fermat prime.
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Question 2 of 5
Simplify.
(m3)6 +m18
A. m4
B. 1
C. m
D. m-9
SUBMIT
Using the first index law, the solution provided indicates that this has a value of 1.
What is the first index law?X to the power of A multiplied by X to a power of B results in X to the power of A + B, according to the first law of indices. Keep in mind that adding the indices when multiplying terms with them means that the base must remain constant throughout.
What exactly is index theory?A topological invariant of a certain class of differential operations on a manifold is studied in index theory, as well as the invariant's local formula in terms of the manifold's geometry. inspirational cases. operator elliptic The index theorem by Atiyah-Singer.
According to the given information:(m³)⁶/m¹⁸ = m³ˣ⁸/m¹⁸
= m¹⁸/m¹⁸
= 1
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The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, On Tuesday, the baker makes a total of 60 muffins how many muffins did she make on tuesday
The number of blueberry muffins the baker makes on Tuesday is given by the equation A = 24 blueberry muffins
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of blueberry muffins the baker makes be A
Now , the equation will be
The total number of muffins the baker makes on Tuesday = 60 muffins
The percentage of blueberry muffins = 40 %
So ,
The number of blueberry muffins the baker makes A = total number of muffins the baker makes on Tuesday x percentage of blueberry muffins
Substituting the values in the equation , we get
The number of blueberry muffins the baker makes A = 60 x ( 40/100 )
On simplifying the equation , we get
The number of blueberry muffins the baker makes A = 60 x 0.4
The number of blueberry muffins the baker makes A = 24 blueberry muffins
Therefore , the value of A is 24
Hence , the number of muffins is 24
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An adult seal eats 48.5 pounds of food daily. how many full days would 785.7 pounds of food last?
16 full days will be covered by the 785.7 pounds of food.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.
We typically utilize this technique for math calculations.
This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.
We are able to locate the missing value using the unitary technique.
This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.
According to our question-
1 pound of food will last = 1/48.5 day
Pounds equal 785.7*(1/48.5) = 785.7
= 785.7/48.5
= 16.2
Only full days will be counted, therefore
We'll only count up to 16.
So, the 785.
16 days will pass after 7 days.
The 785.7 pounds of food will therefore be plenty for 16 full days.
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I’ll give brainliest!! Please explain how to do these
Answer:
x = 2 and x = 5
Step-by-step explanation:
assuming you require to solve for x
the sum of the 3 angles in a triangle is 180°
the third angle in both diagrams is right , that is 90° as they are the angle in a semicircle.
sum the 3 angles and equate to 180
6
90 + 16x + 40 + 11x - 4 = 180
27x + 126 = 180 ( subtract 126 from both sides )
27x = 54 ( divide both sides by 27 )
x = 2
10
90 + 6x + 18 + 3x + 27 = 180
9x + 135 = 180 ( subtract 135 from both sides )
9x = 45 ( divide both sides by 9 )
x = 5